Maxwell operator on q-Minkowski space and q-hyperboloid algebras
Quantum Algebra
2009-11-13 v1 Mathematical Physics
math.MP
Abstract
We introduce an analog of the Maxwell operator on a q-Minkowski space algebra (treated as a particular case of the so-called Reflection Equation Algebra) and on certain of its quotients. We treat the space of "quantum differential forms" as a projective module in the spirit of the Serre-Swan approach. Also, we use "braided tangent vector fields" which are q-analogs of Poisson vector fields associated to the Lie bracket sl(2).
Keywords
Cite
@article{arxiv.0806.3507,
title = {Maxwell operator on q-Minkowski space and q-hyperboloid algebras},
author = {A. Dutriaux and D. Gurevich},
journal= {arXiv preprint arXiv:0806.3507},
year = {2009}
}